ALLIED MAT130 ALL MODULE HOMEWORK ASSIGNMENT

Homework Assignment IntroductionWelcome to the Module 1 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. Seventy-two percent of Americans squeeze their toothpaste tube from the top. This and other not-so-serious findings are included in The First Really Important Survey of American Habits. Those results are based on 7,000 responses from the 25,000 questionnaires that were mailed.a. What is the percentage of questionnaires that were completed based on the number of responses?b. What drawbacks do you see in using this type of data collecting?c. As stated, the value of 72% refers to all Americans, so is that 72% a statistic or a parameter?d. Does the survey constitute an observational study or an experiment?2. How do a parameter and a statistic differ?3. How do quantitative data and categorical data differ?4. How do discrete data and continuous data differ?5. What is a voluntary response sample, and why is it generally unsuitable for methods of statistics?6. What is the difference between statistical significance and practical significance?7. What is the difference between a random sample and a simple random sample?8. What is the difference between an observational study and an experiment?9. A New York Times editorial criticized a chart caption that described a dental rinse as one that “reduces plaque on teeth by over 300%.” What is wrong with that statement?10. Answer the following questions regarding a recent Gallup poll:a. In a Gallup poll of 976 adults, 68 said that they have a drink every day. What is the percentage of respondents who said that they have a drink every day?b. Among the 976 adults surveyed, 32% said that they never drink. What is the actual number of surveyed adults who said that they never drink?11. ABC News conducts an election day poll by randomly selecting voting precincts in New York, then interviewing all voters as they leave those precincts.a. Does this sampling plan result in a random sample? Explain.b. Does this sampling plan result in a simple random sample? Explain.12. A common way of classifying data is to use four levels of measurement: nominal, ordinal, interval, and ratio. Create an example in which each type of measurement is used.a. Nominal exampleb. Ordinal examplec. Interval exampled. Ratio example13. You have been commissioned to conduct a job survey of graduates from your college. Describe procedures for obtaining a sample of each type:a. Randomb. Systematicc. Convenienced. Stratifiede. Cluster14. In “Cardiovascular Effects of Intravenous Triiodothyronine in Patients Underdoing Coronary Artery Bypass Graft Surgery” (Journal of the American Medical Association, Vol. 275, No. 9), the authors explain that patients were assigned to one of three groups: (1) a group treated with triidothyronine, (2) a group treated with normal saline bolus and dopamine, and (3) a placebo group given normal saline. The authors summarize the sample design as a “prospective, randomized, double-blind, placebo-controlled trial.” Describe the meaning of each of the following terms in the context of this study:a. prospectiveb. randomizedc. double-blindd. placebo-controlled15. Find a professional journal with an article in AAU’s LIRN library that uses a statistical analysis of an experiment and answer the following:a. Cite the article.b. Describe and comment on the design of the experiment.c. Identify one particular issue and determine whether the result was found to be statistically significant.d. Determine whether that same result has practical significance.Note: Please visit the Academic Resource Center for a helpful guide on how to use LIRN.PART II: PROJECTDirections: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.Welcome to the Module 2 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSE1. A Harris Interactive survey involved 1644 people between the ages of 8 years and 18 years. The accompanying table summarizes the results.Downloaded MaterialPercentMusic32%Games25%Software14%Movies10%a. Does this table describe a relative frequency distribution? Why or why not?b. What are some of the conditions for a table to have a relative frequency distribution?2. Listed below are amounts of strontium-90 (in millibecquerels) in a simple random sample of baby teeth obtained from Pennsylvania residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano, et. al., Science of the Total Environment). Construct a frequency distribution with eight classes. Begin with a lower class limit of 110, and use a class width of 10. Cite a reason why such data are important. You may use the blank table below or create your own.155 142 149 130 151 163 151 142 156 133 138 161 128 144 172 137 151 166 147 163 145 116 136 158 114 165 169 145 150 150 150 158 151 145 152 140 170 129 188 156Amount of Strontium-90 (in millibecquerels) in baby teethFrequency3. Using the data set above of the amounts of strontium-90 found in baby teeth, find the following:a. Rangeb. Medianc. Moded. Mean4. Construct a stemplot of the amounts of Strontium-90 from problem 3. What does the stemplot suggest about the distribution of those amounts? You may use the table below to create your stemplot.StemLeaves5. The frequency distribution below summarizes the tar (mg) contains in filtered cigarettes.Tar (mg) in Filtered CigarettesFrequency2-526-9210-13614-1715Construct a cumulative frequency distribution given the frequency distribution table above.6. Assume that, as a newspaper reporter, you must graph data showing that increased smoking causes an increased risk of lung cancer. Given that people might be helped and lives might be saved by creating a graph that exaggerates the risk of lung cancer, is it ethical to construct such a graph?7. In an editorial, the Poughkeepsie Journal printed this statement: “The median price–the price exactly in between the highest and lowest–…” Does that statement correctly describe the median? Why or why not?8. When the Indianapolis Colts recently won the Super Bowl, the numbers on the jerseys of the active players were 29, 41, 50, 58, 79,…, 10 (listed in the alphabetical order of the player’s names). Does it make sense to calculate the mean of those numbers? Why or why not?9. In statistics, how do variation and variance differ?10. Which do you think has more variation: the incomes of a simple random sample of 1000 adults selected from the general population, or the incomes of a simple random sample of 1000 statistics teachers? Explain.11. Listed below are the annual salaries for a simple random sample of NCAA football coaches (based on data from USA Today). How does the standard deviation change if the highest salary is omitted? Compute the standard deviation of the entire list first then compute the standard deviation while omitting the highest salary.$150,000 $300,000 $350,147 $232,425 $360,000 $1,231,421 $810,000 $229,00012. Dr. Smith’s Generac generator produces voltage amounts with a mean of 125.0 volts and a standard deviation of 0.3 volt.a. Using Chebyshev’s theorem, what do we know about the percentage of voltage amounts that are within 3 standard deviations of the mean?b. What are the minimum and maximum voltage amounts that are within 3 standard deviations of the mean?13. Bao Xishun is the world’s tallest man with a height of 92.95 in. (or 7 ft, 8.95 in.). Men have heights with a mean of 69.6 in. and a standard deviation of 2.8 in.a. What is the difference between Bao’s height and the mean height of men?b. How many standard deviations is that (the difference found in part (a))?c. Convert Bao’s height to a zscore.d. Does Bao’s height meet the criterion of being unusual by corresponding to a z score that does not fall between and 2?14. A physician routinely makes physical examinations of children. She is concerned that a three-year-old girl has a height of only 87.8 cm. Heights of three-year-old girls have a mean of 97.5 cm and a standard deviation of 6.9 cm (based on data from the National Health and Nutrition Examination Survey).a. Use the range rule of thumb to find the maximum and minimum usual heights of three-year-old girls.b. Based on the result, is the height of 87.8 cm unusual?c. Should the physician be concerned?15. Use the given sorted values below which are the numbers of points scored in the Super Bowl for a recent period of 24 years.36 37 37 39 39 41 43 44 44 47 50 53 54 55 56 56 57 59 61 61 65 69 69 75Find the indicated percentile or quartile:a. P20b. Q1c. Q3d. P75PART II: PROJECTFor this Module 2 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants..8181819915771px;”=””>Homework Assignment IntroductionWelcome to the Module 3 Homework Assignment for MAT 130: Beginning Statistics.Directions: Please answer each of the following questions thoroughly.1. The 110th Congress of the United States included 84 male Senators and 16 female Senators.a. If one of these Senators is randomly selected, what is the probability that a woman is selected?b. Does this probability agree with a claim that men and women have the same chance of being elected as Senators?2. When two dice are rolled, the total is between 2 and 12 inclusive. A student simulates the rolling of two dice by randomly generating numbers between 2 and 12.a. What is the probability of the student rolling a total of 7 on two dice?b. What is the probability of randomly generating a 7 from the numbers 2 to 12 inclusive?c. Does this simulation behave in a way that is similar to actual dice? Why or why not? Use your answers from part (a) and (b) in your explanation.3. What is the basic difference between a situation requiring application of the permutations rule and one that requires the combinations rule?4. Credit card numbers typically have 16 digits, but not all of them are random. Answer the following and express probabilities as fractions.a. What is the probability of randomly generating 16 digits and getting your MasterCard number?b. Receipts often show the last four digits of a credit card number. If those last four digits are known, what is the probability of randomly generating the other digits of your MasterCard number?c. Discover cards begin with the digits 6011. If you also know the last four digits of a Discover card, what is the probability of randomly generating the other digits and getting all of them correct? Is this something to worry about?5. A columnist for the Daily News in New York City wrote about selecting lottery numbers. He stated that some lottery numbers are more likely to occur because they haven’t turned up as much as they should, and they are overdue. Is this reasoning correct? Why or why not? What principle of probability is relevant here?6. The Mega Millions lottery is run in many states. Winning the jackpot requires that you select the correct five numbers between 1 and 56 and, in a separate drawing, you must also select the correct single number between 1 and 46. Find the probability of winning the jackpot.7. What is a random variable? Is it possible for a discrete random variable to have an infinite number of possible values?8. What is the difference between a discrete random variable and a continuous random variable?9. A friend of the author buys one lottery ticket every week in one year. Over the 52 weeks, she counts the number of times that she won something.a. In this context, what is the random variable?b. What are the possible values of the random variable in this problem?10. A researcher calculates the expected value for the number of girls in three births. He gets a result of 1.5. He then rounds the result to 2, saying that it is not possible to get 1.5 girls when three babies are born. Is this reasoning correct? Explain.11. In the Illinois Pick 3 lottery game, you pay 50 cents to select a sequence of three digits, such as 233. If you select the same sequence of three digits that are drawn, you win and collect $250.a. How many different selections are possible?b. What is the probability of winning?c. If you win, what is your net profit?d. Find the expected value.12. In New Jersey’s Pick 4 lottery game, you pay 50 cents to select a sequence of four digits, such as 1332. If you select the same sequence of four digits that are drawn, you win and collect $2788.a. How many different selections are possible?b. What is the probability of winning?c. If you win, what is your net profit?d. Find the expected value.e. If you bet 50¢ in Illinois’ Pick 4 game, the expected value is -25¢. Which bet is better: A bet in the Illinois Pick 4 game or a bet in New Jersey’s Pick 4 game? Explain.13. The final exam in a sociology course consists of 100 multiple-choice questions. Each question has 5 possible answers, and only 1 of them is correct. An unprepared student makes random guesses for all of the answers.a. Find the mean and standard deviation for the number of correct answers for such students.b. Would it be unusual for a student to pass the exam by guessing and getting at least 60 correct answers? Why or why not?14. What are the conditions for using the Poisson distribution?15. Assume that the Poisson distribution applies, and proceed to use the given mean to find the indicated probability.a. If ? = 2, find P(3).b. If ? = 0.3, find P(1).c. If ? = 3/4, find P(3).d. If ? = 1/6, find P(0).PART II: PROJECTFor this Module 3 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants..8181819915771px;”=””>.8181819915771px;”=””>.8181819915771px;”=””>.8181819915771px;”=””>.8181819915771px;”=””>.8181819915771px;”=””>Homework Assignment IntroductionWelcome to the Module 4 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?2. What is the difference between a standard normal distribution and a nonstandard normal distribution?3. Find the indicated values for the following problems:a. z0.05b. z­0.01c. z0.10­d. z0.024. Based on data from the National Health Survey, men’s heights are normally distributed with mean 69.0 in. and standard deviation 2.8 in, whereas women’s heights are normally distributed with mean 63.6 in. and standard deviation 2.5 in. The Gulfstream 100 is an executive jet that seats six, and it has a doorway height of 51.6 in. Use this information to answer the following problems:a. What percentage of adult men can fit through the door without bending?b. What percentage of adult women can fit through the door without bending?c. Does the door design with a height of 51.6 in. appear to be adequate? Why didn’t the engineers design a larger door?d. What doorway height would allow 60% of men to fit without bending?5. What is the standard error of the mean?6. Assume that SAT scores are normally distributed with mean ? = 1518 and standard deviation ? = 325. Use the Central Limit Theorem to answer the following:a. If 1 SAT score is randomly selected, find the probability that it is greater than 1600.b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600.7. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level.a. n = 500, x = 220, 99% confidenceb. 90% confidence; the sample size is 1780, of which 35% are successes8. Use the given sample data and confidence level to construct the confidence interval estimate of the population proportion p for each problem.a. n = 2000, x = 400, 95% confidenceb. n = 5200, x = 4821, 99% confidence9. A design engineer for the Ford Motor Company must estimate the mean leg length of all adults. She obtains a list of the 1275 employees at her facility, then obtains a simple random sample of 50 employees. If she uses this sample to construct a 95% confidence interval to estimate the mean leg length for the population of all adults, will her estimate be good? Why or why not?10. A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953 and a standard deviation of $463,364.a. Find the best point estimate of the mean salary of all NCAA football coaches.b. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.c. Does the confidence interval contain the actual population mean of $474,477?11. Use the given confidence level and sample data below to find (a) the margin of error and (b) the confidence interval for the population mean. Assume that the sample is a simple random sample and the population has a normal distribution. 99% confidence; n = 7,.png”> = 0.12 , s = 0.0412. What is an unbiased estimator? Is the sample variance an unbiased estimator of the population variance? Is the sample standard deviation an unbiased estimator of the population standard deviation?13. Use the given confidence level and sample data to find a confidence interval for the population standard deviation. In each case, assume that a simple random sample has been selected from a population that has a normal distribution. 95% confidence; n = 25,.png”> = 81.0, s = 2.314. Twelve different video games showing substance use were observed and the duration times of game play (in seconds) are listed below (based on data from “Content and Ratings of Teen-Rated Video Games,” by Haninger and Thompson, Journal of the American Medical Association, Vol. 291, No. 7). The design of the study justifies the assumption that the sample can be treated as a simple random sample. 4049 3884 3859 4027 4318 4813 4657 4033 5004 4823 4334 4317a. Use the sample data to construct a 95% confidence interval estimate of ?, the mean duration of game play.b. Use the sample data to construct a 99% confidence interval estimate of ?, the standard deviation of the duration times of game play.PART II: PROJECTFor this Module 4 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.omework Assignment IntroductionWelcome to the Module 5 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. Bottles of Bayer aspirin are labeled with a statement that the tablets each contain 325 mg of aspirin. A quality control manager claims that a large sample of data can be used to support the claim that the mean amount of aspirin in the tablets is equal to 325 mg, as the label indicates. Can a hypothesis test be used to support that claim? If so, identify the null and alternative hypotheses.2. Make a decision about the given claims. Use only the rare event rule stated in Section 8-2, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).a. Claim: A coin favors heads when tossed, and there are 90 heads in 100 tosses.b. Claim: Movie patrons have IQ scores with a standard deviation that is less than the standard deviation of 15 for the general population. A simple random sample of 40 movie patrons results in IQ scores with a standard deviation of 14.8.3. Examine the given statements then express the null hypothesis and alternative hypothesis in symbolic form. Be sure to use the correct symbol (? , p, ?) for the indicated parameter.a. The majority of college students have credit cards.b. The proportion of homes with fire extinguishers is 0.80.4. In preliminary results from couples using the Gender Choice method of gender selection to increase the likelihood of having a baby girl, 20 couples used the Gender Choice method with the result that 8 of them had baby girls and 12 had baby boys. Given that the sample proportion is 8/20 or 0.4, can the sample data support the claim that the proportion of girls is greater than 0.5? Can any sample proportion less than 0.5 be used to support a claim that the population proportion is greater than 0.5? Explain why or why not.5. Test the given claim: In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on data from ICR Survey Research Group). Use a 0.01 significance level to test the claim that among all voters, the percentage who believe that they voted for the winning candidate is equal to 43%, which is the actual percentage of votes for the winning candidate. What does the result suggest about voter perceptions?a. Identify the null hypothesis.b. Identify the alternative hypothesis.c. Identify the test statistic, P-value or critical value(s).d. Identify the conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution (as described in Part 1 of section 8-3).6. When testing a claim about a population mean with ? known, either or both of these conditions is satisfied: The population is normally distributed or the sample size n is greater than 30, that is, n > 30. How do we verify that a population is normally distributed?7. In statistics, what does df denote? If a simple random sample of 20 speeds of cars on California Highway 405 is to be used to test the claim that the sample values are from a population with a mean greater than the posted speed limit of 65 mi h, what is the specific value of df?8. What is a t test? Why is the letter t used?9. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither. You may use Figure 7-6 and Table 7-1 in your textbook. Claim about daily rainfall amounts in Boston: ? < 0.20 in. Sample data: n = 52,.png"> = 0.10 in., s = 0.25 in. The sample data appear to come from a population with a distribution that is very far from normal, and is known.10. Hypothesis tests of claims about the population mean or population standard deviation both require a simple random sample from a normally distributed population. How does the normality requirement for a hypothesis test of a claim about a standard deviation differ from the normality requirement for a hypothesis test of a claim about a mean?11. Find the number of successes x suggested by the given statements:a. From an article in Journal of the American Medical Association: Among 8834 malfunctioning pacemakers, in 15.8% the malfunctions were due to batteries.b. From Pfizer: Among 129 subjects who took Chantix as an aid to stop smoking, 12.4% experienced nausea.12. Assume that you plan to use a significance level of.png” alt=”6dca245c-4a08-4b51-8ede-c6fa5169a2ca”> = 0.05 to test the claim that P1 = P2. Use the given sample sizes and numbers of successes below to find:a. the pooled estimate.png”>,b. the z test statistic,c. the critical z values,d. the P-value.Chantix is a drug used as an aid to stop smoking. The numbers of subjects experiencing insomnia for each of two treatment groups in a clinical trial of the drug Chantix are given below (based on data from Pfizer):Chantix TreatmentPlaceboNumber in group129805Number experiencing insomnia191313. Assume that you want to use a 0.01 significance level to test the claim that the mean pulse rate of men is less than the mean pulse rate of women. What confidence level should be used if you want to test that claim using a confidence interval?14. A nutritionist selects a simple random sample of 50 cans of Coke and another simple random sample of 50 cans of Pepsi. The cans are arranged as 50 pairs, then the sugar content of each can is measured. Are the two samples (Coke and Pepsi) independent or dependent? Explain.15. When testing the claim that two different simple random samples heights of men are from populations having the same standard deviation, the author obtained the F test statistic of 1.010 (based on data from the National Health and Nutrition Examination Survey). What does the value of the F test statistic reveal about the sample data?PART II: PROJECTFor this Module 5 Homework Assignment, please submit your response to the following:Document your progress. Who did you interview? How many people did you interview? If you collected data, please submit it below. If not, please explain what you did to contribute to this assignment this past week.Directions: This assignment is a course-long project whereby you will work on the project in each module. You will turn in your completed project at the end of Module 8.Create a survey question to ask others. The following are examples or some survey questions:1. Choose a random number between 1 and 10 inclusive.2. What month of the year does your birthday fall on? Write the numeric value from 1 to 12.3. How many keys are in your possession at this time?4. How many siblings do you have?In Module 1, you will submit your survey question to your instructor for approval. Once you are notified of its approval, you may begin conducting a survey using your question.You will need at least 25 participants and will need to keep the following record for each person:a. Genderb. Agec. Date surveyedd. Survey responsePlease also keep a count, if any, non-willing participants. For example, if you chose the first survey question, then you might have the following records:Participant #GenderAgeDate SurveyedSurvey Response1M1812/10/1252F4212/15/1283M3412/17/121In the Module 8 Homework Assignment, you will be asked to analyze your survey results, so please be sure to begin conducting your survey as soon as your question is approved. Try getting 5 participants a week to satisfy the required number of participants.Welcome to the Module 6 Homework Assignment for MAT 130: Beginning Statistics.PART I: SHORT RESPONSEDirections: Please answer each of the following questions thoroughly.1. For each of several randomly selected years, the total number of points scored in the Super Bowl football game and the total number of new cars sold in the United States are recorded.a. For this sample of paired data, what does r represent?b. What does ? represent?c. Without doing any research or calculations, estimate the value of r.2. What is meant by the statement that correlation does not imply causality?3. Describe the error in the stated conclusion for each statement.a. Given: There is a linear correlation between the number of cigarettes smoked each day and the pulse rate, so that more smoking is associated with a higher pulse rate.Conclusion: Smoking causes an increase in the pulse rate.b. Given: There is a l